Category:Power Series Expansion for Reciprocal of Square of 1 + x
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This category contains pages concerning Power Series Expansion for Reciprocal of Square of 1 + x:
Let $x \in \R$ such that $-1 < x < 1$.
Then:
| \(\ds \dfrac 1 {\paren {1 + x}^2}\) | \(=\) | \(\ds \sum_{k \mathop = 0}^\infty \paren {-1}^k \paren {k + 1} x^k\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 1 - 2 x + 3 x^2 - 4 x^3 + 5 x^4 - \cdots\) |
Pages in category "Power Series Expansion for Reciprocal of Square of 1 + x"
The following 4 pages are in this category, out of 4 total.